Pith Number

pith:O5MKRZTF

pith:2024:O5MKRZTFH5NKD2HBYLFWQSWFFT

not attested not anchored not stored refs pending

527 elliptic fibrations on Enriques surfaces

Simon Brandhorst, V\'ictor Gonz\'alez-Alonso

arxiv:2408.00306 v1 · 2024-08-01 · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O5MKRZTFH5NKD2HBYLFWQSWFFT}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

The Cone Conjecture for Enriques Surfaces in any Characteristic

Receipt and verification

First computed	2026-07-05T08:51:01.534186Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7758a8e6653f5aa1e8e1c2cb684ac52ce400e1b310e2e1e4f0b4b781601bd269

Aliases

arxiv: 2408.00306 · arxiv_version: 2408.00306v1 · doi: 10.48550/arxiv.2408.00306 · pith_short_12: O5MKRZTFH5NK · pith_short_16: O5MKRZTFH5NKD2HB · pith_short_8: O5MKRZTF

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/O5MKRZTFH5NKD2HBYLFWQSWFFT \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 7758a8e6653f5aa1e8e1c2cb684ac52ce400e1b310e2e1e4f0b4b781601bd269

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6156472264fd84b8c7fef6f379ab459167a67089a789f234e9351eefb5531975",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2024-08-01T06:05:57Z",
    "title_canon_sha256": "1effa46d0cfa784a4053129579dd6ad70dd100074e271f598a39e5c0fe94bb67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.00306",
    "kind": "arxiv",
    "version": 1
  }
}